Bounding complex roots by a positive root
Suppose you have an nth degree polynomial with complex coefficients p(z) = anzn + an-1zn-1 + … + a0 and you want to find some circle that is guaranteed to contain all the zeros of p. Cauchy found such a circle in 1829. The zeros of p lie inside the
Read moreIt’s time for a heat check on the subscription economy and its proposed value to customers
Companies employing subscription licensing have grown between three and four times faster than the S&P 500 over the past 12 years. © 2023 TechCrunch. All rights reserved. For personal use only.
Read more23andMe says hackers accessed ‘significant number’ of files about users’ ancestry
Genetic testing company 23andMe announced on Friday that hackers accessed around 14,000 customer accounts in the company’s recent data breach. In a new filing with the U.S. Securities and Exchange Commission published Friday, the company said that, based on its investigation into the incident, it had determined that hackers had
Read moreEv startup Fisker cut its 2023 production target for the fourth time
Fisker, the California-based EV startup, cut its annual production guidance in an effort to free up $300 million in working capital, the company said in a business update Friday. Fisker said it expects to produce about 10,000 vehicles this year. The decision comes less than a month since Fisker cut
Read moreOpenAI’s GPT Store delayed to 2024 following leadership chaos
OpenAI’s app store for AI, the GPT Store, will not launch this year as previously announced, but rather on an unspecified date in early 2024, the company said. The delay is almost certainly due to the leadership shakeup that occurred in November, just after the initial announcement. The news was
Read moreAmazon signs 3-launch deal with SpaceX for Project Kuiper satellite internet constellation
Amazon has purchased three Falcon 9 launches from SpaceX to support deployment of its Project Kuiper mega-constellation, the company said Friday. The new deal comes scarcely two months after it was revealed that Amazon was facing a lawsuit over its decision not to consider SpaceX – the most reliable rocket
Read moreCapsule’s new app combines AI and human editors to curate the news
A Paris-based startup called Capsule wants to transform the way users seek out their daily news. Instead of offering a standard news aggregator experience, Capsule’s mission is to become the “Spotify for news” by combining AI technology and human editorial curation to provide a news reading experience that transforms news
Read more8 authors and their 8 gift book picks for this holiday season
Book blurbs have become a central part of the publishing industry: Who better to endorse a book than other authors and thought leaders? In that same spirit, we asked several writers to recommend books that you and other TechCrunch readers may want to gift this holiday season. Read on for
Read moreThe end of Elon
Standing on the rear bed of his greatest boondoggle, his face obscured in shadow, the billionaire who built a rabid fanbase through seemingly inhuman feats of engineering and willpower cut a greatly reduced figure: Elon Musk was presiding over the first customer deliveries of a Tesla truck that, like most
Read moreThe search and discovery marketplace
The benefits of a well-run marketplace are numerous: a far more valuable user experience for your customers, a differentiated product and new revenue streams. © 2023 TechCrunch. All rights reserved. For personal use only.
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